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AlgebraEasyTranslating 'less than' into an inequality

Algebra practice question

A number x decreased by 7 is less than 10. Which inequality represents this statement?

  1. A. x − 7 < 10Correct
  2. B. 7 − x < 10
  3. C. x − 7 > 10
  4. D. x − 7 ≤ 10

Answer: A. x − 7 < 10

'x decreased by 7' is x − 7; 'is less than 10' is < 10. So x − 7 < 10.

Why the other answers are wrong

B. 7 − x < 10
7 − x is '7 decreased by x', the reverse of what was said.
C. x − 7 > 10
'Less than' is <, not >.
D. x − 7 ≤ 10
'Less than' is strict; ≤ would mean 'at most 10'.

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